%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:34 PM UTC 2026
% Result : Unsatisfiable 14.25s 3.01s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 116 ( 25 unt; 8 def)
% Number of atoms : 257 ( 43 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 258 ( 117 ~; 133 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,non_ordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( member(X0,non_ordered_pair(X1,X2))
| ~ little_set(X0)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,non_ordered_pair(X1,X2))
| ~ little_set(X0)
| X0 != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair3) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f35,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f36,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f37,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f38,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ little_set(X0)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f39,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f69,axiom,
! [X0] : successor(X0) = union(X0,singleton_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f70,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f107,axiom,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ member(X2,X0)
| ~ member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint1) ).
fof(f110,axiom,
! [X0] :
( X0 = empty_set
| member(f24(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f111,plain,
! [X0] :
( member(f24(X0),X0)
| empty_set = X0 ),
inference(reorient_equations,[],[f110]) ).
fof(f112,axiom,
! [X0] :
( X0 = empty_set
| disjoint(f24(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f113,plain,
! [X0] :
( disjoint(f24(X0),X0)
| empty_set = X0 ),
inference(reorient_equations,[],[f112]) ).
fof(f247,axiom,
member(f76,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_natural_number) ).
fof(f248,axiom,
member(f77,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_natural_number) ).
fof(f249,axiom,
successor(f76) = successor(f77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successors_are_equal) ).
fof(f250,negated_conjecture,
f76 != f77,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_well_definedness_of_successor) ).
fof(f251,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(non_ordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f69,f39,f9]) ).
fof(f254,plain,
complement(intersection(complement(f76),complement(non_ordered_pair(f76,f76)))) = complement(intersection(complement(f77),complement(non_ordered_pair(f77,f77)))),
inference(definition_unfolding,[],[f249,f251,f251]) ).
fof(f326,plain,
! [X2,X1] :
( member(X2,non_ordered_pair(X1,X2))
| ~ little_set(X2) ),
inference(equality_resolution,[],[f7]) ).
fof(f327,plain,
! [X2,X1] :
( member(X1,non_ordered_pair(X1,X2))
| ~ little_set(X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f339,plain,
! [X0] :
( ~ member(X0,complement(intersection(complement(f76),complement(non_ordered_pair(f76,f76)))))
| ~ member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77)))) ),
inference(superposition,[],[f37,f254]) ).
fof(f345,plain,
! [X0] :
( member(X0,complement(intersection(complement(f76),complement(non_ordered_pair(f76,f76)))))
| ~ little_set(X0)
| member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77)))) ),
inference(superposition,[],[f38,f254]) ).
fof(f346,plain,
! [X0] :
( ~ little_set(X0)
| member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77))))
| ~ member(X0,intersection(complement(f76),complement(non_ordered_pair(f76,f76)))) ),
inference(resolution,[],[f345,f37]) ).
fof(f347,plain,
! [X0] :
( ~ member(X0,intersection(complement(f76),complement(non_ordered_pair(f76,f76))))
| member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77)))) ),
inference(forward_subsumption_resolution,[],[f346,f1]) ).
fof(f353,plain,
little_set(f77),
inference(resolution,[],[f1,f248]) ).
fof(f354,plain,
little_set(f76),
inference(resolution,[],[f1,f247]) ).
fof(f356,plain,
! [X0] :
( ~ member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77))))
| ~ little_set(X0)
| member(X0,intersection(complement(f76),complement(non_ordered_pair(f76,f76)))) ),
inference(resolution,[],[f339,f38]) ).
fof(f357,plain,
! [X0] :
( ~ member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77))))
| member(X0,intersection(complement(f76),complement(non_ordered_pair(f76,f76)))) ),
inference(forward_subsumption_resolution,[],[f356,f1]) ).
fof(f358,plain,
! [X0] :
( member(X0,intersection(complement(f77),complement(non_ordered_pair(f77,f77))))
| ~ member(X0,complement(f76))
| ~ member(X0,complement(non_ordered_pair(f76,f76))) ),
inference(resolution,[],[f347,f36]) ).
fof(f359,plain,
! [X0] :
( ~ member(X0,complement(non_ordered_pair(f76,f76)))
| ~ member(X0,complement(f76))
| member(X0,complement(non_ordered_pair(f77,f77))) ),
inference(resolution,[],[f358,f35]) ).
fof(f362,plain,
! [X0] :
( ~ member(X0,complement(f76))
| member(X0,complement(non_ordered_pair(f77,f77)))
| ~ little_set(X0)
| member(X0,non_ordered_pair(f76,f76)) ),
inference(resolution,[],[f359,f38]) ).
fof(f363,plain,
! [X0] :
( member(X0,complement(non_ordered_pair(f77,f77)))
| ~ member(X0,complement(f76))
| member(X0,non_ordered_pair(f76,f76)) ),
inference(forward_subsumption_resolution,[],[f362,f1]) ).
fof(f365,plain,
! [X0,X1] :
( f24(non_ordered_pair(X0,X1)) = X1
| f24(non_ordered_pair(X0,X1)) = X0
| non_ordered_pair(X0,X1) = empty_set ),
inference(resolution,[],[f111,f5]) ).
fof(f616,plain,
! [X0] :
( ~ member(X0,non_ordered_pair(f77,f77))
| member(X0,non_ordered_pair(f76,f76))
| ~ member(X0,complement(f76)) ),
inference(resolution,[],[f363,f37]) ).
fof(f852,plain,
( member(f77,non_ordered_pair(f76,f76))
| ~ member(f77,complement(f76))
| ~ little_set(f77) ),
inference(resolution,[],[f616,f327]) ).
fof(f875,plain,
( member(f77,non_ordered_pair(f76,f76))
| ~ member(f77,complement(f76)) ),
inference(forward_subsumption_resolution,[],[f852,f1]) ).
fof(f894,definition,
( spl0_79
<=> member(f77,complement(f76)) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f896,plain,
( ~ member(f77,complement(f76))
| spl0_79 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f898,definition,
( spl0_80
<=> member(f77,non_ordered_pair(f76,f76)) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f900,plain,
( member(f77,non_ordered_pair(f76,f76))
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,plain,
( ~ spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f875,f898,f894]) ).
fof(f1046,plain,
( ~ little_set(f77)
| member(f77,f76)
| spl0_79 ),
inference(resolution,[],[f896,f38]) ).
fof(f1048,plain,
( member(f77,f76)
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f1046,f353]) ).
fof(f1284,plain,
! [X0] :
( member(X0,intersection(complement(f76),complement(non_ordered_pair(f76,f76))))
| ~ member(X0,complement(f77))
| ~ member(X0,complement(non_ordered_pair(f77,f77))) ),
inference(resolution,[],[f357,f36]) ).
fof(f1371,plain,
! [X0] :
( ~ member(X0,complement(non_ordered_pair(f77,f77)))
| ~ member(X0,complement(f77))
| member(X0,complement(non_ordered_pair(f76,f76))) ),
inference(resolution,[],[f1284,f35]) ).
fof(f1392,plain,
! [X0] :
( ~ member(X0,complement(f77))
| member(X0,complement(non_ordered_pair(f76,f76)))
| ~ little_set(X0)
| member(X0,non_ordered_pair(f77,f77)) ),
inference(resolution,[],[f1371,f38]) ).
fof(f1416,plain,
! [X0] :
( member(X0,complement(non_ordered_pair(f76,f76)))
| ~ member(X0,complement(f77))
| member(X0,non_ordered_pair(f77,f77)) ),
inference(forward_subsumption_resolution,[],[f1392,f1]) ).
fof(f1590,plain,
! [X0] :
( ~ member(X0,non_ordered_pair(f76,f76))
| member(X0,non_ordered_pair(f77,f77))
| ~ member(X0,complement(f77)) ),
inference(resolution,[],[f1416,f37]) ).
fof(f2257,plain,
! [X0,X1] :
( ~ member(X1,f24(X0))
| empty_set = X0
| ~ member(X1,X0) ),
inference(resolution,[],[f113,f107]) ).
fof(f3561,plain,
( member(f76,non_ordered_pair(f77,f77))
| ~ member(f76,complement(f77))
| ~ little_set(f76) ),
inference(resolution,[],[f1590,f327]) ).
fof(f3596,plain,
( member(f76,non_ordered_pair(f77,f77))
| ~ member(f76,complement(f77)) ),
inference(forward_subsumption_resolution,[],[f3561,f1]) ).
fof(f3807,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| empty_set = non_ordered_pair(X2,X0)
| ~ member(X1,non_ordered_pair(X2,X0))
| f24(non_ordered_pair(X2,X0)) = X2
| empty_set = non_ordered_pair(X2,X0) ),
inference(superposition,[],[f2257,f365]) ).
fof(f3813,plain,
! [X2,X0,X1] :
( ~ member(X1,non_ordered_pair(X2,X0))
| empty_set = non_ordered_pair(X2,X0)
| ~ member(X1,X0)
| f24(non_ordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f3807]) ).
fof(f3820,plain,
! [X0,X1] :
( non_ordered_pair(X0,X1) = empty_set
| ~ member(X0,X1)
| f24(non_ordered_pair(X0,X1)) = X0
| ~ little_set(X0) ),
inference(resolution,[],[f3813,f327]) ).
fof(f3848,plain,
! [X0,X1] :
( ~ member(X0,X1)
| non_ordered_pair(X0,X1) = empty_set
| f24(non_ordered_pair(X0,X1)) = X0 ),
inference(forward_subsumption_resolution,[],[f3820,f1]) ).
fof(f4671,definition,
( spl0_301
<=> member(f76,complement(f77)) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
fof(f4673,plain,
( ~ member(f76,complement(f77))
| spl0_301 ),
inference(avatar_component_clause,[],[f4671]) ).
fof(f4675,definition,
( spl0_302
<=> member(f76,non_ordered_pair(f77,f77)) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
fof(f4677,plain,
( member(f76,non_ordered_pair(f77,f77))
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f4675]) ).
fof(f4691,plain,
( ~ spl0_301
| spl0_302 ),
inference(avatar_split_clause,[],[f3596,f4675,f4671]) ).
fof(f4737,definition,
( spl0_308
<=> f77 = f24(non_ordered_pair(f77,f76)) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
fof(f4738,plain,
( f77 != f24(non_ordered_pair(f77,f76))
| spl0_308 ),
inference(avatar_component_clause,[],[f4737]) ).
fof(f4739,plain,
( f77 = f24(non_ordered_pair(f77,f76))
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f4737]) ).
fof(f4741,definition,
( spl0_309
<=> empty_set = non_ordered_pair(f77,f76) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
fof(f4743,plain,
( empty_set = non_ordered_pair(f77,f76)
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f4741]) ).
fof(f4777,plain,
( f76 = f77
| f76 = f77
| ~ spl0_80 ),
inference(resolution,[],[f900,f5]) ).
fof(f4780,plain,
( f76 = f77
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f4777]) ).
fof(f4790,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f4780,f250]) ).
fof(f4791,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f4790]) ).
fof(f5059,plain,
( ! [X0] :
( ~ member(X0,f77)
| empty_set = non_ordered_pair(f77,f76)
| ~ member(X0,non_ordered_pair(f77,f76)) )
| ~ spl0_308 ),
inference(superposition,[],[f2257,f4739]) ).
fof(f5074,definition,
( spl0_338
<=> ! [X0] :
( ~ member(X0,f77)
| ~ member(X0,non_ordered_pair(f77,f76)) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
fof(f5075,plain,
( ! [X0] :
( ~ member(X0,non_ordered_pair(f77,f76))
| ~ member(X0,f77) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f5074]) ).
fof(f5076,plain,
( spl0_309
| spl0_338
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f5059,f4737,f5074,f4741]) ).
fof(f5280,definition,
( spl0_362
<=> member(f76,f77) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
fof(f5282,plain,
( member(f76,f77)
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f5280]) ).
fof(f5351,plain,
( ~ member(f76,f77)
| ~ little_set(f76)
| ~ spl0_338 ),
inference(resolution,[],[f5075,f326]) ).
fof(f5381,plain,
( ~ member(f76,f77)
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f5351,f1]) ).
fof(f5576,plain,
( ~ little_set(f76)
| member(f76,f77)
| spl0_301 ),
inference(resolution,[],[f4673,f38]) ).
fof(f5577,plain,
( member(f76,f77)
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f5576,f354]) ).
fof(f5602,plain,
( f76 = f77
| f76 = f77
| ~ spl0_302 ),
inference(resolution,[],[f4677,f5]) ).
fof(f5605,plain,
( f76 = f77
| ~ spl0_302 ),
inference(duplicate_literal_removal,[],[f5602]) ).
fof(f5615,plain,
( $false
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f5605,f250]) ).
fof(f5616,plain,
~ spl0_302,
inference(avatar_contradiction_clause,[],[f5615]) ).
fof(f5618,plain,
( spl0_362
| spl0_301 ),
inference(avatar_split_clause,[],[f5577,f4671,f5280]) ).
fof(f5620,plain,
( $false
| ~ spl0_338
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f5381,f5282]) ).
fof(f5621,plain,
( ~ spl0_338
| ~ spl0_362 ),
inference(avatar_contradiction_clause,[],[f5620]) ).
fof(f5638,plain,
( empty_set = non_ordered_pair(f77,f76)
| f77 = f24(non_ordered_pair(f77,f76))
| spl0_79 ),
inference(resolution,[],[f1048,f3848]) ).
fof(f5640,plain,
( empty_set = non_ordered_pair(f77,f76)
| spl0_79
| spl0_308 ),
inference(forward_subsumption_resolution,[],[f5638,f4738]) ).
fof(f5641,plain,
( spl0_309
| spl0_79
| spl0_308 ),
inference(avatar_split_clause,[],[f5640,f4737,f894,f4741]) ).
fof(f6383,plain,
( member(f76,empty_set)
| ~ little_set(f76)
| ~ spl0_309 ),
inference(superposition,[],[f326,f4743]) ).
fof(f6397,plain,
( ~ little_set(f76)
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f6383,f70]) ).
fof(f6409,plain,
( $false
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f6397,f354]) ).
fof(f6410,plain,
~ spl0_309,
inference(avatar_contradiction_clause,[],[f6409]) ).
cnf(s42,plain,
( ~ spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f902]) ).
cnf(s235,plain,
( ~ spl0_301
| spl0_302 ),
inference(sat_conversion,[],[f4691]) ).
cnf(s246,plain,
~ spl0_80,
inference(sat_conversion,[],[f4791]) ).
cnf(s275,plain,
( ~ spl0_308
| spl0_309
| spl0_338 ),
inference(sat_conversion,[],[f5076]) ).
cnf(s326,plain,
~ spl0_302,
inference(sat_conversion,[],[f5616]) ).
cnf(s327,plain,
( spl0_301
| spl0_362 ),
inference(sat_conversion,[],[f5618]) ).
cnf(s328,plain,
( ~ spl0_338
| ~ spl0_362 ),
inference(sat_conversion,[],[f5621]) ).
cnf(s331,plain,
( spl0_79
| spl0_308
| spl0_309 ),
inference(sat_conversion,[],[f5641]) ).
cnf(s409,plain,
~ spl0_309,
inference(sat_conversion,[],[f6410]) ).
cnf(s414,plain,
( spl0_79
| spl0_308 ),
inference(rat,[],[s331,s409]) ).
cnf(s419,plain,
( ~ spl0_308
| spl0_338 ),
inference(rat,[],[s275,s409]) ).
cnf(s427,plain,
~ spl0_301,
inference(rat,[],[s235,s326]) ).
cnf(s428,plain,
spl0_362,
inference(rat,[],[s327,s427]) ).
cnf(s429,plain,
~ spl0_338,
inference(rat,[],[s328,s428]) ).
cnf(s430,plain,
~ spl0_308,
inference(rat,[],[s419,s429]) ).
cnf(s431,plain,
spl0_79,
inference(rat,[],[s414,s430]) ).
cnf(s447,plain,
$false,
inference(rat,[],[s42,s246,s431]) ).
fof(f6412,plain,
$false,
inference(avatar_sat_refutation,[],[s447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 18:39:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.70/2.31 % (2323217)Input is clausal, will run a generic CNF schedule.
% 10.70/2.31 % (2323225)lrs+10_1_sil=8000:sp=occurrence:random_seed=2232025700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.70/2.31 % (2323225)Refutation not found, incomplete strategy
% 10.70/2.31 % (2323225)------------------------------
% 10.70/2.31 % (2323225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.31 % (2323225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.31 % (2323225)CaDiCaL version: 2.1.3
% 10.70/2.31 % (2323225)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.31 % (2323225)Time elapsed: 0.001 s
% 10.70/2.31 % (2323225)Peak memory usage: 87 MB
% 10.70/2.31 % (2323228)dis-21_1_sil=8000:lcm=predicate:random_seed=439657170:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.70/2.31 % (2323222)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1898953136:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.70/2.31 % (2323223)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4162074499:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.70/2.31 % (2323227)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2583105001:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.70/2.31 % (2323226)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2516777105:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.70/2.31 % (2323224)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2207223413:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.70/2.31 % (2323226)Refutation not found, incomplete strategy
% 10.70/2.31 % (2323226)------------------------------
% 10.70/2.31 % (2323226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.31 % (2323226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.31 % (2323226)CaDiCaL version: 2.1.3
% 10.70/2.31 % (2323226)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.31 % (2323226)Time elapsed: 0.002 s
% 10.70/2.31 % (2323226)Peak memory usage: 87 MB
% 10.70/2.31 % (2323226)Instructions burned: 1 (million)
% 10.70/2.31 % (2323228)Instruction limit reached!
% 10.70/2.31 % (2323228)------------------------------
% 10.70/2.31 % (2323228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.31 % (2323228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.31 % (2323228)CaDiCaL version: 2.1.3
% 10.70/2.31 % (2323228)Termination reason: Instruction limit
% 10.70/2.31 % (2323228)Termination phase: Saturation
% 10.70/2.31 % (2323228)Time elapsed: 0.064 s
% 10.70/2.31 % (2323228)Peak memory usage: 89 MB
% 10.70/2.31 % (2323228)Instructions burned: 118 (million)
% 10.70/2.31 % (2323225)------------------------------
% 10.70/2.31 % (2323225)------------------------------
% 10.70/2.31 % (2323227)Instruction limit reached!
% 10.70/2.31 % (2323227)------------------------------
% 10.70/2.31 % (2323227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.31 % (2323227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.31 % (2323227)CaDiCaL version: 2.1.3
% 10.70/2.31 % (2323227)Termination reason: Instruction limit
% 10.70/2.31 % (2323227)Termination phase: Saturation
% 10.70/2.31 % (2323227)Time elapsed: 0.132 s
% 10.70/2.31 % (2323227)Peak memory usage: 90 MB
% 10.70/2.31 % (2323227)Instructions burned: 181 (million)
% 10.70/2.31 % (2323236)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1192689685:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.70/2.31 % (2323236)Refutation not found, incomplete strategy
% 10.70/2.31 % (2323236)------------------------------
% 10.70/2.31 % (2323236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.31 % (2323236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.31 % (2323236)CaDiCaL version: 2.1.3
% 10.70/2.31 % (2323236)Termination reason: Refutation not found, incomplete strategy
% 10.70/2.31 % (2323236)Time elapsed: 0.001 s
% 10.70/2.31 % (2323236)Peak memory usage: 88 MB
% 10.70/2.31 % (2323236)Instructions burned: 1 (million)
% 14.25/3.01 % (2323237)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1270740006:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 14.25/3.01 % (2323226)------------------------------
% 14.25/3.01 % (2323226)------------------------------
% 14.25/3.01 % (2323238)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=36804949:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.25/3.01 % (2323237)Instruction limit reached!
% 14.25/3.01 % (2323237)------------------------------
% 14.25/3.01 % (2323237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323237)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323237)Termination reason: Instruction limit
% 14.25/3.01 % (2323237)Termination phase: Saturation
% 14.25/3.01 % (2323237)Time elapsed: 0.057 s
% 14.25/3.01 % (2323237)Peak memory usage: 90 MB
% 14.25/3.01 % (2323237)Instructions burned: 192 (million)
% 14.25/3.01 % (2323243)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3113154578:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.25/3.01 % (2323241)lrs+10_64_to=lpo:sil=8000:random_seed=2776562999:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 14.25/3.01 % (2323238)Instruction limit reached!
% 14.25/3.01 % (2323238)------------------------------
% 14.25/3.01 % (2323238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323238)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323238)Termination reason: Instruction limit
% 14.25/3.01 % (2323238)Termination phase: Saturation
% 14.25/3.01 % (2323238)Time elapsed: 0.135 s
% 14.25/3.01 % (2323238)Peak memory usage: 90 MB
% 14.25/3.01 % (2323238)Instructions burned: 219 (million)
% 14.25/3.01 % (2323236)------------------------------
% 14.25/3.01 % (2323236)------------------------------
% 14.25/3.01 % (2323243)Instruction limit reached!
% 14.25/3.01 % (2323243)------------------------------
% 14.25/3.01 % (2323243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323243)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323243)Termination reason: Instruction limit
% 14.25/3.01 % (2323243)Termination phase: Saturation
% 14.25/3.01 % (2323243)Time elapsed: 0.068 s
% 14.25/3.01 % (2323243)Peak memory usage: 90 MB
% 14.25/3.01 % (2323243)Instructions burned: 197 (million)
% 14.25/3.01 % (2323241)Instruction limit reached!
% 14.25/3.01 % (2323241)------------------------------
% 14.25/3.01 % (2323241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323241)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323241)Termination reason: Instruction limit
% 14.25/3.01 % (2323241)Termination phase: Saturation
% 14.25/3.01 % (2323241)Time elapsed: 0.072 s
% 14.25/3.01 % (2323241)Peak memory usage: 90 MB
% 14.25/3.01 % (2323241)Instructions burned: 127 (million)
% 14.25/3.01 % (2323248)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2492522441:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 14.25/3.01 % (2323248)Refutation not found, incomplete strategy
% 14.25/3.01 % (2323248)------------------------------
% 14.25/3.01 % (2323248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323248)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323248)Termination reason: Refutation not found, incomplete strategy
% 14.25/3.01 % (2323248)Time elapsed: 0.001 s
% 14.25/3.01 % (2323248)Peak memory usage: 88 MB
% 14.25/3.01 % (2323248)Instructions burned: 1 (million)
% 14.25/3.01 % (2323246)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2593358140:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.25/3.01 % (2323247)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1838623313:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.25/3.01 % (2323249)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=428198320:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 14.25/3.01 % (2323246)Instruction limit reached!
% 14.25/3.01 % (2323246)------------------------------
% 14.25/3.01 % (2323246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323246)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323246)Termination reason: Instruction limit
% 14.25/3.01 % (2323246)Termination phase: Saturation
% 14.25/3.01 % (2323246)Time elapsed: 0.096 s
% 14.25/3.01 % (2323246)Peak memory usage: 91 MB
% 14.25/3.01 % (2323246)Instructions burned: 159 (million)
% 14.25/3.01 % (2323248)------------------------------
% 14.25/3.01 % (2323248)------------------------------
% 14.25/3.01 % (2323249)Instruction limit reached!
% 14.25/3.01 % (2323249)------------------------------
% 14.25/3.01 % (2323249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323249)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323249)Termination reason: Instruction limit
% 14.25/3.01 % (2323249)Termination phase: Saturation
% 14.25/3.01 % (2323249)Time elapsed: 0.075 s
% 14.25/3.01 % (2323249)Peak memory usage: 90 MB
% 14.25/3.01 % (2323249)Instructions burned: 108 (million)
% 14.25/3.01 % (2323255)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4108750270:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.25/3.01 % (2323254)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1236561570:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.25/3.01 % (2323256)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3934936997:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 14.25/3.01 % (2323256)Refutation not found, incomplete strategy
% 14.25/3.01 % (2323256)------------------------------
% 14.25/3.01 % (2323256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323256)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323256)Termination reason: Refutation not found, incomplete strategy
% 14.25/3.01 % (2323256)Time elapsed: 0.001 s
% 14.25/3.01 % (2323256)Peak memory usage: 88 MB
% 14.25/3.01 % (2323256)Instructions burned: 1 (million)
% 14.25/3.01 % (2323254)Instruction limit reached!
% 14.25/3.01 % (2323254)------------------------------
% 14.25/3.01 % (2323254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323254)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323254)Termination reason: Instruction limit
% 14.25/3.01 % (2323254)Termination phase: Saturation
% 14.25/3.01 % (2323254)Time elapsed: 0.150 s
% 14.25/3.01 % (2323254)Peak memory usage: 90 MB
% 14.25/3.01 % (2323254)Instructions burned: 242 (million)
% 14.25/3.01 % (2323256)------------------------------
% 14.25/3.01 % (2323256)------------------------------
% 14.25/3.01 % (2323260)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=688189753:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 14.25/3.01 % (2323262)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2445210882:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.25/3.01 % (2323262)Instruction limit reached!
% 14.25/3.01 % (2323262)------------------------------
% 14.25/3.01 % (2323262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323262)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323262)Termination reason: Instruction limit
% 14.25/3.01 % (2323262)Termination phase: Saturation
% 14.25/3.01 % (2323262)Time elapsed: 0.107 s
% 14.25/3.01 % (2323262)Peak memory usage: 90 MB
% 14.25/3.01 % (2323262)Instructions burned: 192 (million)
% 14.25/3.01 % (2323260)Instruction limit reached!
% 14.25/3.01 % (2323260)------------------------------
% 14.25/3.01 % (2323260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323260)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323260)Termination reason: Instruction limit
% 14.25/3.01 % (2323260)Termination phase: Saturation
% 14.25/3.01 % (2323260)Time elapsed: 0.254 s
% 14.25/3.01 % (2323260)Peak memory usage: 95 MB
% 14.25/3.01 % (2323260)Instructions burned: 500 (million)
% 14.25/3.01 % (2323264)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2898043546:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 14.25/3.01 % (2323265)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3354342093:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 14.25/3.01 % (2323265)Instruction limit reached!
% 14.25/3.01 % (2323265)------------------------------
% 14.25/3.01 % (2323265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323265)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323265)Termination reason: Instruction limit
% 14.25/3.01 % (2323265)Termination phase: Saturation
% 14.25/3.01 % (2323265)Time elapsed: 0.099 s
% 14.25/3.01 % (2323265)Peak memory usage: 90 MB
% 14.25/3.01 % (2323265)Instructions burned: 157 (million)
% 14.25/3.01 % (2323264)Instruction limit reached!
% 14.25/3.01 % (2323264)------------------------------
% 14.25/3.01 % (2323264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323264)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323264)Termination reason: Instruction limit
% 14.25/3.01 % (2323264)Termination phase: Saturation
% 14.25/3.01 % (2323264)Time elapsed: 0.152 s
% 14.25/3.01 % (2323264)Peak memory usage: 92 MB
% 14.25/3.01 % (2323264)Instructions burned: 264 (million)
% 14.25/3.01 % (2323268)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=921582418:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 14.25/3.01 % (2323269)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=172624912:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 14.25/3.01 % (2323269)Refutation not found, incomplete strategy
% 14.25/3.01 % (2323269)------------------------------
% 14.25/3.01 % (2323269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.25/3.01 % (2323269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.25/3.01 % (2323269)CaDiCaL version: 2.1.3
% 14.25/3.01 % (2323269)Termination reason: Refutation not found, incomplete strategy
% 14.25/3.01 % (2323269)Time elapsed: 0.001 s
% 14.25/3.01 % (2323269)Peak memory usage: 87 MB
% 14.25/3.01 % (2323269)Instructions burned: 1 (million)
% 14.25/3.01 % (2323247)First to succeed.
% 14.25/3.01 % (2323247)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2323217"
% 14.25/3.01 % (2323269)------------------------------
% 14.25/3.01 % (2323269)------------------------------
% 14.25/3.01 % (2323247)Refutation found. Thanks to Tanya!
% 14.25/3.01 % SZS status Unsatisfiable for theBenchmark
% 14.25/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.20 % (2323247)------------------------------
% 0.16/3.20 % (2323247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.20 % (2323247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.20 % (2323247)CaDiCaL version: 2.1.3
% 0.16/3.20 % (2323247)Termination reason: Refutation
% 0.16/3.20 % (2323247)Time elapsed: 1.184 s
% 0.16/3.20 % (2323247)Peak memory usage: 138 MB
% 0.16/3.20 % (2323247)Instructions burned: 1805 (million)
% 0.16/3.20 % (2323247)------------------------------
% 0.16/3.20 % (2323247)------------------------------
% 0.16/3.20 % (2323217)Success in time 2.17 s
% 0.16/3.20 % Vampire exiting
%------------------------------------------------------------------------------